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CTRL+A, CTRL+C, CTRL+V
(http://leetcode.com/2011/01/ctrla-ctrlc-ctrlv.html)
Imagine you have a special keyboard with the following keys:
A
Ctrl + A
Ctrl + C
Ctrl + V
where CTRL+A, CTRL+C, CTRL+V each acts as one function key for "Select All", "Copy", and "Paste" operations respectively.
If you can only press the keyboard for N times (with the above four keys), please write a program to produce maximum numbers of A. If possible, please also print out the sequence of keys.
That is to say, the input parameter is N (No. of keys that you can press), the output is M (No. of As that you can produce).
The Code:
int findMaxK(int n){ int power = 2; double max = 0.0; int maxK = 0; while (n > 0) { n -= 2; double t = (double)n/power; double r = pow(t, (double)power); if (r > max) { maxK = power; max = r; } power++; } return maxK;}unsigned int f(int n){ if (n <= 7) return n; int k = findMaxK(n); int sum = n - 2*(k-1); unsigned int mul = 1; while (k > 0) { int avg = sum/k; mul *= avg; k--; sum -= avg; } assert(sum == 0); return mul;}
CTRL+A, CTRL+C, CTRL+V
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